Answer:
a) [tex]2.4\times 10^{24} kg[/tex] is the mass of 1 mole of bricks.
b) [tex]2.5\times 10^3[/tex] moles of bricks have a mass equal to the mass of the Earth.
Explanation:
a) Mass of brick = 4.0 kg
1 mole = [tex]N_A=6.022\times 10^{23}[/tex] particles/ atoms/molecules
Mass of [tex]N_A[/tex] bricks :
[tex]=6.022\times 10^{23}\times 4.0 kg=2.4088\times 10^{24} kg\approx 2.4\times 10^{24} kg[/tex]
[tex]2.4\times 10^{24} kg[/tex] is the mass of 1 mole of bricks.
b)
Mass of the Earth = M = [tex]6.0\times 10^{27} kg[/tex]
Mass of 1 mole of brick = m=[tex]2.4\times 10^{24} kg[/tex]
Let the moles of brick with equal mass of the Earth be x.
[tex]m\times x=M[/tex]
[tex]x=\frac{M}{m}=\frac{6.0\times 10^{27}kg}{2.4\times 10^{24} kg}=2.5\times 10^3[/tex]
[tex]2.5\times 10^3[/tex] moles of bricks have a mass equal to the mass of the Earth.